cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A013824 a(n) = 2^(5*n + 3).

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%I A013824 #29 Feb 21 2025 09:29:24
%S A013824 8,256,8192,262144,8388608,268435456,8589934592,274877906944,
%T A013824 8796093022208,281474976710656,9007199254740992,288230376151711744,
%U A013824 9223372036854775808,295147905179352825856,9444732965739290427392,302231454903657293676544,9671406556917033397649408
%N A013824 a(n) = 2^(5*n + 3).
%H A013824 Vincenzo Librandi, <a href="/A013824/b013824.txt">Table of n, a(n) for n = 0..200</a>
%H A013824 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>.
%H A013824 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (32).
%F A013824 From _Philippe Deléham_, Nov 24 2008: (Start)
%F A013824 a(n) = 32*a(n-1), n > 0; a(0)=8.
%F A013824 G.f.: 8/(1-32*x).
%F A013824 a(n) = 8*A009976(n). (End)
%F A013824 From _Elmo R. Oliveira_, Feb 20 2025: (Start)
%F A013824 E.g.f.: 8*exp(32*x).
%F A013824 a(n) = A000079(A016885(n)). (End)
%F A013824 a(n) = 2*A013823(n) = 4*A013822(n). - _Paolo Xausa_, Feb 21 2025
%t A013824 2^(5*Range[0, 20] + 3) (* _Paolo Xausa_, Feb 21 2025 *)
%o A013824 (Magma) [2^(5*n+3): n in [0..15]]; // _Vincenzo Librandi_, Jul 07 2011
%o A013824 (PARI) a(n)=2^(5*n+3) \\ _Charles R Greathouse IV_, Jul 11 2016
%Y A013824 Cf. A000079 (2^n), A009976, A013822, A013823, A016885 (5*n+3).
%K A013824 nonn,easy
%O A013824 0,1
%A A013824 _N. J. A. Sloane_